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Finding the Third Proportional to 249,312 and 536,640

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Solution

The third proportional to 249,312 and 536,640 is: 1,155,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,312 : 536,640 = 536,640 : x
  2. Step 2: Convert to fraction form
    249,312/536,640 = 536,640/x
  3. Step 3: Cross multiply
    249,312x = 536,640 × 536,640
  4. Step 4: Simplify right side
    249,312x = 287,982,489,600
  5. Step 5: Solve for x
    x = 287,982,489,600/249,312
  6. Step 6: Final answer
    x = 1,155,108.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.